Home / 1,762.67-2,432.88-1,165.28

Finding the Fourth Proportional to 1,762.67, 2,432.88 and 1,165.28

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Solution

The fourth proportional to 1,762.67, 2,432.88 and 1,165.28 is: 1,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.67 : 2,432.88 = 1,165.28 : x
  2. Step 2: Convert to fraction form
    1,762.67/2,432.88 = 1,165.28/x
  3. Step 3: Cross multiply
    1,762.67x = 2,432.88 × 1,165.28
  4. Step 4: Simplify right side
    1,762.67x = 2,834,974.24
  5. Step 5: Solve for x
    x = 2,834,974.24/1,762.67
  6. Step 6: Final answer
    x = 1,608.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.